## Abstract

A 2×2 digital optical switch using two symmetrical unidirectional Bragg grating couplers is proposed and studied in this paper. A low-loss polymer is used as waveguide material, and the Bragg grating coupling efficiency is optimized to be 22%, then the unidirectional coupling efficiency of 99.9% is achieved in theory. The performance of the switch based on the unidirectional couplers with Bragg gratings is theoretically modeled and simulated. Finally, the 2.4dB insertion loss, the -17dB crosstalk between two output ports, the 28 dB extinction ratio, the 1.5ms response speed and the 87mW power consumption are experimentally demonstrated with this regime.

© 2005 Optical Society of America

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### Equations (7)

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(1)
$${\eta}_{u}=\sum _{n=0}^{m}\frac{{k}_{c}^{2}}{{\psi}^{2}}{\eta}_{g}{\mathrm{sin}}^{2}\left[\psi \left(m+1\right)\Delta L\right]\left[1-\frac{{k}_{c}^{2}}{{\psi}^{2}}{\eta}_{g}{\mathrm{sin}}^{2}\left(\psi m\Delta L\right)\right]$$
(2)
$${\eta}_{b}=\frac{{k}_{c}^{2}}{{\psi}^{2}}{\mathrm{sin}}^{2}\left(\psi L\right)$$
(3)
$${\beta}_{1,2}=\frac{2\pi}{\lambda}{n}_{1,2}\mathrm{sin}{\theta}_{1,2},$$
(4)
$${\alpha}_{1,2}=\frac{2\pi}{\lambda}{n}_{1,2}\mathrm{cos}{\theta}_{1,2}$$
(5)
$${\eta}_{g}={\left[\frac{\mathrm{sin}\left({D}_{g}\xb7\Delta \alpha \right)}{{D}_{g}\xb7\Delta \alpha}\right]}^{2}{\mathrm{sin}}^{2}\left({K}_{g}\xb7{D}_{g}\right)$$
(6)
$${K}_{g}=\frac{{\omega}^{2}\mu}{2\sqrt{{\alpha}_{1}{\alpha}_{2}}}{\overrightarrow{P}}_{1}\xb7\Delta \epsilon {\overrightarrow{P}}_{2}$$
(7)
$$P={\kappa}_{W}\frac{{W}_{H}{L}_{H}}{{t}_{W}}\left(1+0.88\frac{{t}_{W}}{{W}_{H}}\right)\xb7\Delta T$$